SAGE Open Source Mathematics Software
Examples of calculus , linear algebra 
and differential equations
by Reinaldo Baretti Machín,
and Alfonso Baretti Huertas
 

www.oocities.org/serienumerica4
www.oocities.org/serienumerica3
www.oocities.org/serienumerica2
www.oocities.org/serienumerica
www.oocities.org/fisicageneral2009
Para preguntas y sugerencias escriba a :
reibaretti2004@yahoo.com

Notebook Searching for Sage server... Version 3.3.rc0

reibarettiToggle Home Published Log Settings Report a Problem Help Sign out

Examples of calculus/plots/lin ... last edited on February 17, 2009 06:10 AM by reibaretti

SaveSave & quitDiscard & quit

File... Upload worksheet from a file New worksheet Download to a file Print Rename worksheet Copy worksheet Delete worksheet Action... Interrupt Restart worksheet Save and quit worksheet --------------------------- Evaluate All Hide All Output Show All Output Delete All Output --------------------------- One Cell Mode Multi Cell Mode Data... Upload or create file... -------------------- sage gap gp jsmath html latex maxima python r sage sh singular axiom (optional) kash (optional) macaulay2 (optional) magma (optional) maple (optional) mathematica (optional) matlab (optional) mupad (optional) octave (optional)  Typeset

Print Worksheet Edit Text Undo Share Publish

diff(x^3,x,2) evaluate

6*x 6*x

f=x^2 diff(f,x) evaluate

2*x 2*x

integral(f,x) evaluate

x^3/3 x^3/3

integral(f,x,0,3) evaluate

9 9

x,y=var('x,y') plot3d(x^2+y^2,(x,-2,2),(y,-2,2)) evaluate

y=plot(sin(x),0,pi) show(y) evaluate

y=plot(exp(-x),0,4) show(y) evaluate

plot ((x^2+1),x,-2,2).show(xmin=-3,xmax=3,ymin=0.,ymax=6) evaluate

integral(exp(-2*x),x,0,20) evaluate

1/2 - e^-40/2 1/2 - e^-40/2

x, y = var('x, y') solve([8*x + y == 3, -x +7*y == 0],x,y) evaluate

[[x == 7/19, y == 1/19]] [[x == 7/19, y == 1/19]]

evaluate

# To solve the equation x'+5*x-1=0: 

t = var('t')    # define a variable t
x = function('x',t)   # define x to be a function of that variable
DE = lambda y: diff(y,t) + 5*y - 1
desolve(DE(x(t)), [x,t])